100133331101031 has 8 divisors (see below), whose sum is σ = 133511158617984. Its totient is φ = 66755528825720.

The previous prime is 100133331101021. The next prime is 100133331101197. The reversal of 100133331101031 is 130101133331001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100133331101031 - 2⁶ = 100133331100967 is a prime.

It is a super-2 number, since 2×100133331101031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100133331100989 and 100133331101007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133331101021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6891616 + ... + 15740426.

It is an arithmetic number, because the mean of its divisors is an integer number (16688894827248).

Almost surely, 2^{100133331101031} is an apocalyptic number.

100133331101031 is a deficient number, since it is larger than the sum of its proper divisors (33377827516953).

100133331101031 is an equidigital number, since it uses as much as digits as its factorization.

100133331101031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12620821.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 100133331101031 its reverse (130101133331001), we get a palindrome (230234464432032).

The spelling of 100133331101031 in words is "one hundred trillion, one hundred thirty-three billion, three hundred thirty-one million, one hundred one thousand, thirty-one".